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Finding the Fourth Proportional to 288,901.63, 432,997.51 and 162,275.70

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Solution

The fourth proportional to 288,901.63, 432,997.51 and 162,275.70 is: 243,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,901.63 : 432,997.51 = 162,275.70 : x
  2. Step 2: Convert to fraction form
    288,901.63/432,997.51 = 162,275.70/x
  3. Step 3: Cross multiply
    288,901.63x = 432,997.51 × 162,275.70
  4. Step 4: Simplify right side
    288,901.63x = 70,264,974,033.51
  5. Step 5: Solve for x
    x = 70,264,974,033.51/288,901.63
  6. Step 6: Final answer
    x = 243,214.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.